-4(x-2x)+6=-2(6x-x)+7+13x

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Solution for -4(x-2x)+6=-2(6x-x)+7+13x equation:


Simplifying
-4(x + -2x) + 6 = -2(6x + -1x) + 7 + 13x

Combine like terms: x + -2x = -1x
-4(-1x) + 6 = -2(6x + -1x) + 7 + 13x

Remove parenthesis around (-1x)
-4 * -1x + 6 = -2(6x + -1x) + 7 + 13x

Multiply -4 * -1
4x + 6 = -2(6x + -1x) + 7 + 13x

Reorder the terms:
6 + 4x = -2(6x + -1x) + 7 + 13x

Combine like terms: 6x + -1x = 5x
6 + 4x = -2(5x) + 7 + 13x

Remove parenthesis around (5x)
6 + 4x = -2 * 5x + 7 + 13x

Multiply -2 * 5
6 + 4x = -10x + 7 + 13x

Reorder the terms:
6 + 4x = 7 + -10x + 13x

Combine like terms: -10x + 13x = 3x
6 + 4x = 7 + 3x

Solving
6 + 4x = 7 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
6 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = 7 + 0
6 + 1x = 7

Add '-6' to each side of the equation.
6 + -6 + 1x = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 7 + -6
1x = 7 + -6

Combine like terms: 7 + -6 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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